On some inequalities for generalized s-convex functions and applications on fractal sets

Volume 10, Issue 2, pp 583--594 http://dx.doi.org/10.22436/jnsa.010.02.22

Publication Date: February 20, 2017 Submission Date: November 29, 2016

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Authors

Adem Kilicman - Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia. Wedad Saleh - Department of Mathematics, Putra University of Malaysia (UPM), Serdang, Malaysia.

Abstract

The authors present some new inequalities of generalized Hermite-Hadamard’s type for the class of functions whose second local fractional derivatives of order \(\alpha\) in absolute value at certain powers are generalized s-convex functions in the second sense. Moreover, some applications are given.

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Keywords

• s-convex functions
• fractal space
• local fractional derivative.

MSC

•  26A51
•  26D07
•  26D15

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